Philosophia Mathematica Advance Access first published online on June 23, 2007
This version published online on June 25, 2007
Philosophia Mathematica, doi:10.1093/philmat/nkm027
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Full-Blooded Reference
Department of Philosophy, 405 Hilgard Avenue, University of California Los Angeles, Los Angeles, California 90095-1451, U.S.A.
Correspondence: grabin{at}humnet.ucla.edu
In Just what is full-blooded platonism? Greg Restall outlines several objections to Mark Balaguer's theory of full-blooded platonism. I reply to these objections by explicating the semantic framework for the reference of mathematical terms that full-blooded platonism requires. Expanding upon these replies, I then explain how the full-blooded platonist, in light of the explicated semantic framework, should treat mathematical terms and statements in order to avoid certain pitfalls.
I want to thank Mark Balaguer, Phillip Bricker, and Greg Restall for helpful comments on earlier drafts of this paper.